On The Problem of the Viscous Broken Ice Response to a Load Moving Along a Channel
УДК 517:551.3
Abstract
The problem of the broken ice response to a moving external load in a channel is considered.
The review of the well-known results is presented in paragraph 1.
The formulation of the problem is given in paragraph 2. The channel has a rectangular cross section with finite depth and width. The fluid in the channel is ideal and covered with broken ice. The broken ice is modeled by a thin elastic plate with zero rigidity. The external load is modeled by a smooth localized pressure and moves along the upper surface of the broken ice at a constant speed. The case taking into account the viscosity of broken ice is considered. The flow caused by the deflection ofthe broken ice is potential. The broken ice deflection and the potential of the flow satisfy the damping condition at a distance from the load.
The method of the solution is described in paragraph 3. The solution is sought in the form of a traveling wave in a coordinate system moving together with the load. The problem is solved using the Fourier transform along the channel and the method of separation of variables. The solution is obtained in the form of integrals from the Fourier image of the deflection of the broken ice. These integrals are solved numerically for some given parameters of the problem.
The results are discussed in conclusion.
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References
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